Question

Show that x=1 is a zero of the polynominal
3x^ 3 - 4 x² +8x-7
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Answer 1

Answer:

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Answer 2

Answer :

1 is a zero of the given polynomial 3x³ - 4x² + 8x - 7

Step-by-step explanation :

Given :

cubic polynomial : 3x³ - 4x² + 8x - 7

To prove :

1 is a zero of the given polynomial.

Solution :

Let p(x) = 3x³ - 4x² + 8x - 7

If 1 is a zero of the polynomial, when we put x = 1, the result should be zero.

i.e., p(1) = 0

p(1) = 3(1)³ - 4(1)² + 8(1) - 7

p(1) = 3(1) - 4(1) + 8 - 7

p(1) = 3 - 4 + 8 - 7

p(1) = 11 - 11

p(1) = 0

p(1) = 0

Hence, 1 is a zero of the given polynomial.

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#Know more :

• Cubic polynomial is a polynomial of degree 3.
• General form : ax³ + bx² + cx + d

Relation between zeroes and coefficients :

• Sum of all zeroes = -b/a
• Sum of the product of zeroes taken two at a time = c/a
• Product of zeroes = -d/a